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International Journal of Mathematics and Mathematical Sciences 
Volume 2003 (2003), Issue 51, Pages 3267-3276
doi:10.1155/S0161171203211261

KKM theorem with applications to lower and upper bounds equilibrium problem in G-convex spaces

M. Fakhar and J. Zafarani

Department of Mathematics, University of Isfahan, Isfahan 81745-163, Iran

Received 9 November 2002

Abstract

We give some new versions of KKM theorem for generalized convex spaces. As an application, we answer a question posed by Isac et al. (1999) for the lower and upper bounds equilibrium problem.